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Finding the Fourth Proportional to 29,995.25, 44,993.10 and 10,274

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Solution

The fourth proportional to 29,995.25, 44,993.10 and 10,274 is: 15,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,995.25 : 44,993.10 = 10,274 : x
  2. Step 2: Convert to fraction form
    29,995.25/44,993.10 = 10,274/x
  3. Step 3: Cross multiply
    29,995.25x = 44,993.10 × 10,274
  4. Step 4: Simplify right side
    29,995.25x = 462,259,109.40
  5. Step 5: Solve for x
    x = 462,259,109.40/29,995.25
  6. Step 6: Final answer
    x = 15,411.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.